Real hypersurfaces of complex space forms in terms of Ricci *-tensor.
type: Item
instance of: scholarly article
title: Real hypersurfaces of complex space forms in terms of Ricci *-tensor.
zbMATH Open document ID: 1046.53037
author: Tatsuyoshi Hamada
published in: Tokyo Journal of Mathematics
publication date: 2003-10-12T00:00:00Z
review text: In the present paper the author studies real hypersurfaces in a complex space form \(M_{n}(c)\) in terms of a generalization of the Ricci tensor (the so-called Ricci \(*\)-tensor introduced by \textit{Shun-ichi Tachibana} in [Tôhoku Math. J., II. Ser. 11, 247--265 (1959; Zbl 0090.38603)]. The main result is a classification of \(*\)-Einstein real hypersurfaces in \(M_{n}(c)\) whose structure vector is a principal curvature vector.
reviewed by: Sergio Console
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 1930977
zbMATH Keywords: real hypersurface
zbMATH Keywords: complex space form
zbMATH Keywords: Ricci *-tensor
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1244208866
OpenAlex ID: W2011966949
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DOI: 10.3836/TJM/1244208866
description: scientific article; zbMATH DE number 1930977